Add 36/42 and 35/40
36/42 + 35/40 is 97/56.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 40 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 42 × 20 = 840,
36/42 = 36 × 20/42 × 20 = 720/840 - Likewise, for the 2nd fraction, since 40 × 21 = 840,
35/40 = 35 × 21/40 × 21 = 735/840 - Add the two like fractions:
720/840 + 735/840 = 720 + 735/840 = 1455/840 - 1455/840 simplified gives 97/56
- So, 36/42 + 35/40 = 97/56
In mixed form: 141/56
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 72/42+35/40 36/42+70/40 36/84+35/40 36/42+35/80